The graph of quadratic function f(x) has a minimum at (-2,- 3 and passes through the point (2, 13). The functio
g(x) is represented by the equation g(x)= -(x+2)(x-3)
How much greater is the y-intercept of g(x) than f(x)?
Answer:
Step-by-step explanation:
hello :
the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c
the vertex : (- b , c )
means : (-2,-3) so : -b = -2 and c = - 3 so : b =2 and c = -3
f(x) = a(x+2)²-3
calculate : a
the graph passes through the point (2, 13) : f(2)=13
means : a(2+2)²-3 = 13
16a - = 13
16a = 16 so : a = 1
f(x) is represented by the equation f(x) = (x+2)²-3
The graph of f(x) color red and g(x) blue
is the y-intercept when g(x) greater g(x) than f(x) is when x=0 so : y = 6
Simplify the expression: (in the image attached)
Step-by-step explanation:
Hey there!
[tex]\tt{\dfrac{\dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}}[/tex]
So, what we can do here is first take the Least Common Multiple here, on both Numerator and Denominator.
[tex]\tt{\dfrac{\dfrac{y + 2y^2 (1)}{x^2 y (2)}}{\dfrac{5y^2 - 6x (3) }{xy^2 (4)}}}[/tex]
[The number in brackets is for the next step :-
When we will further simplify it, we will multiply 1st with 4th and 2nd with 3rd.
[tex]\tt{\dfrac{y + 2y^2 \times xy^2 }{x^2 y \times 5y^2 - 6x }}[/tex]
[tex]\tt{\dfrac{y + 2y^2 \times y }{x \times 5y^2 - 6x }}[/tex] is the framed answer.
Answer:
[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]
Step-by-step explanation:
Lets do the numerator and denominator seperately:
Numerator:
1/x^2 + 2/y
Find common denominator and add these 2 fractions:
This is x^2y (I just multiplied the 2 denominators together’
Now, do what you have done to x^2 to make it x^2y, ie. multiplied by y, to the 1. This = y
And do what you have done to y to make it x^2y, ie. multiplied by x^2, to the 2. This = [tex]2^{2}[/tex]
Now, arrange all numbers we have found into the correct order in the fraction. This is:
[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]
Denominator:
5/x - 6/y^2
Find the common denominator and subtract these two fractions:
This is xy^2
Now, do what you have done to x to make it xy^2, ie. multiply by y^2, to the 5. This = 5y^2
And do what you have done to the y^2 to make it xy^2, ie. multiply by x, to the 6, this is = 6x
Now, arrange all the numbers we have found into the correct order in the fraction
[tex]\frac{5y^{2}-6x}{xy^2}[/tex]
Now that we have the numerator and the denominator, we can solve the equation.
The original question asks us to divide the 2 fractions, so:
[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] divided by [tex]\frac{5y^{2}-6x}{xy^2}[/tex]
For the division of fractions, you just have to multiply the inverse of the 2nd fraction by the first, so
[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] x [tex]\frac{xy^2}{5y^2-6x}[/tex]
Use cross multiplication to simplify the above expression to:
[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]
Hope this helps, sorry its long ...
HURRRY!!!! NO BOTS OR SPAM OR I WILL MAKE YOU PAY!!!!
Answer:
i believe its 21.5
Step-by-step explanation:
Answer:
Volume= 360 feet³
Step-by-step explanation:
We have two shapes, a triangular prism and a rectangular prism.
Rectangular Prism: [tex]w=6, h=2, l=8, V=lwh[/tex]
So, the volume is 6×2×8=96 feet³
Triangular Prism: [tex]h=5.5-2=3.5, w=6, l=8, V=\frac{1}{2}lwh[/tex]
So, the volume is (5.5×6)÷2 ×8= 33×8=264 feet³
We have to combine the two volumes to find the volume of the whole shape. 96+264=360. So, the volume of the whole shape is 360 feet³
Which of the following phrases are inequalities?
Answer:
B, C, and D
Step-by-step explanation:
They have an either a less than sign ( < ) or a greater than sign ( > ).
I will give brainlest to the first person
NOT TO THE PEOPLE WHO JUST WANT MY POINTS!
Answer:
Its A
Step-by-step explanation:
To determine whether x and y have a proportional relationship, see if the line through these points passes through the origin (0, 0). The points are on a line that passes through the origin. So, x and y have a proportional relationship.
Hope this helps, and please mark brainliest.
R and E + reeeeeeeee
Answer:
reeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
will give brainlist or whatever.
Meredith has $5.10 in quarters and dimes. She has 24 coins in all. How many quarters and how many dimes does she have?
Write 5/36 as a decimal
Answer:
0.138
Step-by-step explanation:
Answer:
0.388888888888
Step-by-step explanation:
take 36 to the nearest hundred.
times the numerator with the same number
and convert
For the equation y=-6/5x+3 enter the equation of a perpendicular line
Answer:
y = 5/6x + 3
Step-by-step explanation:
perpendicular line= have negative reciprocal slope
the slope of y = - 6/5x + 3 is - 6/5, and the negative reciprocal slope of - 6/5 is 5/6.
If 3cm represents 4m what is 6cm • 3cm?
Answer:
18cm duh
Step-by-step explanation:
Can you please help me
nvm there is the right answer
The difference between a snert and a snart is six. The sum of twice a snert and a snart is eighteen. How large is a snert and how large is a snart?
Answer:
The measure of a snart is 2 and that of a snert is 8.
Step-by-step explanation:
Represent the size of a snert by e and that of a snart by a.
Then e - a = 6. This assumes that e > a.
2e + a = 18. Substitute e - 6 for a, obtaining:
2e + (e - 6) = 18.
Simplifying, we get
2e + e - 6 = 18, or
3e = 24, and so
e = 8
Remembering that e - a = 6, we have 8 - a = 6. Then a must be 2.
The measure of a snart is 2 and that of a snert is 8.
PLEASE HELP ME IM TIMED ON THIS!!!
Which expression is equivalent to the area of square A, in square inches?
1/2 (10)(24)
10(24)
(10+24)^2
10^2+24^2
Answer:10^2+24^2
Step-by-step explanation:the required expression equivalent to the area of the square A in inches is (10² + 24²).
yes I need help with another one ASAP
Step-by-step explanation:
(-1,-1) (0,3)
3- -1 / 0 - -1 = 4/1 = 4
slope is 4
Find the area of the composite figure
Answer:
The answer is 180ft
Step-by-step explanation:
The reason the answer is 180ft is because your using area which means your are multiplying all your answers.
A furniture store sells kits that customers use to build cabinets. Each kit contains 18 screws and a
set number of boards.
Part A
Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents
this situation.
6(x + 18) = 192
What is the value of x in Jarred's equation?
A. 11
B. 14
C. 29
D. 35
Answer:
The answer is B, 14.
Step-by-step explanation:
Answer: 14
Step-by-step explanation: I took the test and got it correct :)
hi can someone please help with this, i need the workout as well pls
Answer:
45
Step-by-step explanation:
98+37=135
180-135=45
Margie has a $50.00 budget to purchase a $45.00 pair of boots. If there is an 8% sales tax rate, Margie will be how much under budget?
Answer:
$1.40
Step-by-step explanation:
First, 8% of $45
45*0.08=3.6
45+3.6=48.6
50-48.6=1.4
What is the measure of ZZYW in rhombus WXYZ?
779
w
Z
O A 38.5
OB 51.5
D103
Answer:
A. 38.5
Step-by-step explanation:
Since the angles <XWZ and <XYZ are congruent, <ZYW is just half of <XYZ, so you would just divide 77 in half to get your answer. It's a rhombus, so it works similarly to a square. If one side is congruent, the other is too.
Please help with this its confusing somehow :(
Answer :- D
Refer to the attached image for solution ❤️
A regular hexagon is dilated by a scale factor of 2.5. What happens to the perimeter in this process?
Answer:
Step-by-step explanation:
perimeter of larger hexagon=2.5 perimeter of smaller hexagon
OLEASE HELLPP I will mark good
Someone help me pls
Answer:
550 mins
Step-by-step explanation:
Answer:
Step-by-step explanation: can you zoom that picture in cant see it
Brainiest be marked, if the answer is correct!!!! Please help!!!
Answer:
f(-3) = 6
Step-by-step explanation:
This question asks one to evaluate the function (f) for input (-3). It is known that the x-axis represents the input, while the y-axis represents the output. Therefore, find (-3) on the x-axis, and then see where the graph of the line is when it meets the value (-3), this value will be the output. In this case, the output is (6).
3.
Find the length of a rectangular prism if the volume is 70 m3, the width is 2 m, and the height is 7 m.
5 m
8 m
7 m
6 m
Answer:
5 m
Step-by-step explanation:
Use the volume formula, V = lwh
Plug in the volume, width, and height, then solve for l (the length)
V = lwh
70 = (l)(2)(7)
70 = 14l
5 = l
So, the length of the rectangular prism is 5 m
Answer:
Solution :-We have
Volume = 70 m³
Width = 2 m
Height = 7 m
Length = Volume/Width × Height
Length = 70/2 × 7
Length = 70/14
Length = 5 m
[tex] \\ [/tex]
which box-and-whisker plot represents this data 5,8,4,2,5,9,7,12,4,3
Answer:
pag times mo po sya tyaka download ka photo ma tsaka ma kipag up a9e
Julie pays $30 a month for her phone plus $2 for each
song she downloads. Which graph shows Jule's phone
bill based on the number of x songs she downloads?
B.
45
45
40
60
Phone Bill (dollars)
Phone Bill (dollars)
20
15
10
10
1 2 3 4 5 6 7 8 9 10
Songs Downloaded
23
6700
Songs Downloaded
C.
D
XXS
Phone Bill (dollars)
Phone Bill (dollars)
123
7910
Songs Downloaded
1 2 4 5
Songs Downloaded
Answer:
A
Step-by-step explanation:
You can look at the graph and infer that the line passes through 32 34 36 and so on
or
you can substitute y for the bill and x for the number of songs to see which graph is correct
y = 30 + 2x
For A, the line goes through 32 34 36 38 40 42 44 46 and 48
You can plug in 32 for y and 1 for x and so on
32 = 30 + 2*1 = 30 + 2
34 = 30 + 2*2 = 30 + 4
36 = 30 + 2*3 = 30 + 6
38 = 30 + 2* = 30 + 8
and so on
In the word FLASHLIGHT what is the ratio of
vowels to total letters?
m.
Answer:
The ratio is 2:10 or 2 vowels to 10 total letters ;)
How do I solve this?
Answer:
A,
Step-by-step explanation:
Opposites sides are equal in a rectangle.
Answer:
The answer is: "It has to be a rectangle. I measured the diagonals to be sure they were the same length."
Step-by-step explanation:
The other properties are true of a rectangle as well, but they could also be other shapes.
"It has to be a rectangle. The opposite sides are the same length."
This could also be describing a rhombus or square.
"It has to be a rectangle because it is not a square."
This could also be a rhombus, trapezoid, or even kite.
"It has to be a rectangle. I made sure that the two 8-foot boards are parallel and that the two 6-foot boards are parallel."
This can describe any parallelogram. Just because the sides are congruent and parallel does not mean that there are four 90degree angles formed.
"It has to be a rectangle. I measured the diagonals to be sure they were the same length."
This is a property of rectangle diagonals. They will always be congruent.
A science test had 32 true or false questions. Malik answered 75% of the questions correctly. How many of the questions did he NOT answer correctly?
Answer:
If you had 32 questions and got a grade of 75% then you would have gotten 8 questions wrong and 24 correct anwsers.